What do you mean by length contraction, Physics

Assignment Help:

Q. What do you mean by Length Contraction?

The length of any object in a moving frame will appear for shortened in the direction of motion. The amount of contraction can be calculated from the Lorentz transformation. The length of the object is maximum in the frame in which it is at rest. Let us consider two inertial frames of references S and S' where the axes, x and x', y and y' and z and z' are parallel and the origin O' of frames S' is moving with a uniform velocity v with respect to frames S as shown in fig. Suppose a rod is placed along X' axis in moving frame S'. An observer O' in this frame observes the coordinates of the two ends of the rod at X1' and X2' respectively. This rod will always appear at rest to observer O' in frame S' and the measurement of the position of the two ends will not depend on the time. The length measured in such a frame is constant and known as proper length. The frame S' in which the rod appears at rest, is called proper frame and the length observed in this frame is called proper length. Then the proper length of the rod suppose x2 & x1 are the positions of the two ends of the rod as observed simultaneously at time ‘t' in the frame S. the observed length of the rod in frame S will be. Hence the length is appeared to be constricted, by the factor. This contraction in length of a body along the direction of motion is also called Lorentz Fitzgerald contraction.


Related Discussions:- What do you mean by length contraction

Thin film, what is main requirements for any thin film process

what is main requirements for any thin film process

Advantages of three phase system over single phase system, Advantages of th...

Advantages of three phase system over single phase system  a) Rotating magnetic field can be set up, by passing three-phase current by stationary coils.   b) Polyphase s

Relative permitivity, It is a measure of the extent up to which a materia...

It is a measure of the extent up to which a material concentrates electrostatic lines of flux. It is the amount of the stored electrical energy when a potential is applied, relat

Name the particles that flow towards the cathode, A high voltage applied to...

A high voltage applied to a gas discharge tube having neon gas at very low pressure causes a current to flow through the tube.   Which particles that flow towards the cathode?

Equation of continuity, An equation that states a fluid passing through a p...

An equation that states a fluid passing through a pipe flows at a rate that is inversely proportional to the cross-sectional area of the pipe. i.e., if the pipe constricts, the flu

Terrestrial telescope and astronomical telescope, Distinguish between a ter...

Distinguish between a terrestrial telescope and an astronomical telescope. Explain Rams dens' eye piece with the help of a neat diagram. Illustrate its advantages and disadvantages

Malus law, state and explain malus law?

state and explain malus law?

Mechanical properties of solids, Assignment of applications of elastic beha...

Assignment of applications of elastic behaviour of materials

Experiments based on vernier callipers, A vernier callipers gives with an a...

A vernier callipers gives with an auxiliary (or vernier) scale in addition to the major measurement scale. The vernier scale may be slide with the main scale. The vernier scale is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd